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| Summer Term 2015, Doctoral School Events | |
| 2015-03-20 | Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, Seminarraum 11.32, 13:15—16:15, KFU) |
| Judith Kloas (TU, advisor W. Woess): The reflected random walk [show abstract] | |
| Stefan Waldenberger (TU, advisor W. Müller): The affine inflation market models [show abstract] | |
| Matthias Gsell (TU, advisor O. Steinbach): Domain decomposition methods for nonlinear transmission conditions [show abstract] | |
| Adrian Scheerer (TU, advisor R. Tichy): Normality in Pisot Numeration Systems [show abstract] | |
| 2015-04-24 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU) |
| Raheel Anwar (KFU, advisor F. Kappel): A Neural Network Controller for the Administration of Erythropoietin to Dialysis Patients [show abstract] | |
| Caroline Moosmüller (TU, advisor J. Wallner): Hermite Subdivision on Manifolds [show abstract] | |
| Konrad Schrempf (TU, advisor F. Lehner): Noncommutative Rational Functions and their minimal Representation [show abstract] | |
| Rostislav Stanek (TU, advisor E. Dragoti-Cela): A special case of the data arrangement problem on binary trees [show abstract] | |
| 2015-06-12 | Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, Seminarraum 11.32, 13:15—16:15, KFU) |
| Anna Zubkova (KFU, advisor V. Kovtunenko): On generalized Poisson–Nernst–Planck equations [show abstract] | |
| Wolfgang Carl (TU, advisor J. Wallner): On semidiscrete minimal surfaces and their associated families [show abstract] | |
| Manuela Tschabold (KFU, advisor K. Baur): Frieze patterns [show abstract] | |
| Dirk Martin (KFU, advisor G. Haase): Towards RBF Interpolation on Heterogeneous Systems [show abstract] | |
| 2015-06-26 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU) |
| Hannah Vogel (KFU, advisor K. Baur): Quivers of asymptotic triangulations [show abstract] | |
| Michael Kniely (KFU, advisor K. Fellner): The Entropy Method for a Reaction-Diffusion-Poisson System | |
|
Abstract: The basic idea of an entropy approach is to bound an entropy functional from above by a multiple of its negative time-derivative, the so-called entropy dissipation. Such an estimate directly implies convergence to equilibrium and also gives an explicit bound for the convergence rate. In this talk, we will present a way for applying such an entropy approach to a system modeling reaction and diffusion of two electrically charged species. First, we discuss this reaction-diffusion-Poisson system as well as conservation laws and equilibrium states. We will then introduce an appropriate entropy functional and review the main ingredients of the entropy method. Using elementary and more involved inequalities, we are able to estimate parts of the entropy functional by its dissipation. Finally, we collect the remaining estimates, not proven so far, and discuss the main obstacles in the course of proving them. [hide abstract] | |
| Eva Siegmann (G. Haase, advisor KFU): Handling complex shaped particles in DEM simulations [show abstract] | |
| Daniel Ganellari (KFU, advisor G. Haase): Fast many-core solvers for the eikonal equations in cardiovascular simulations [show abstract] |